Finding the Fourth Proportional to 1,513.27, 2,269.32 and 588.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.27 : 2,269.32 = 588.71 : x
2. Step 2: Convert to fraction form
   1,513.27/2,269.32 = 588.71/x
3. Step 3: Cross multiply
   1,513.27x = 2,269.32 × 588.71
4. Step 4: Simplify right side
   1,513.27x = 1,335,960.03
5. Step 5: Solve for x
   x = 1,335,960.03/1,513.27
6. Step 6: Final answer
   x = 882.83